Research for fuzzy Duoma debt model and its fuzzy solution

• Autorzy: Bing-Yuan C.
• Języki publikacji: EN

Abstrakty

EN

Debt model is generalized first in this paper; and then an extensively used fuzzy debt model is built by a concept of inverse image defined by fuzzy functions. Third, a proof is demonstrated of the existence of fuzzy solutions as well as dependence upon initial values and parameters of solutions. Fourth, a series of solving methods is advanced with problems discussed on this system's stability. And finally, Duoma debt model with a triangle fuzzy function is solved.

Słowa kluczowe

EN

functions; set theory; approximation theory; differential equations; system stability

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2003
• Tom: Vol. 29, nr 3
• Strony: 81--93
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Bing-Yuan C.

• Deptment and Institute of Mathematics, Shantou University, Guangdong, 515063, China

Bibliografia

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• [4] Cao B. Y., Fuzzy Geometric Programming, Kluwer Academic Publishers, Dordrecht 2002.
• [5] Heilpern S., Fuzzy mappings, Matematyka Stosowana, XXII, 1983, 179-197, (in Polish).
• [6] Heilpern S., Fuzzy equations. Fuzzy Mathematics, 2, 1987, 77-84.
• [7] Goetschcl R., Voxman D. W., Elementary fuzzy calculus, Fuzzy Sets and Systems, 18, 1986, 31- 42.
• [8] Zadeh L. A., Calculus of fuzzy restriction, [in:] Fuzzy Sets and Their Applications to Cognitive and Decision Processes, L. A. Zadeh, K. S., Fu, K. Tanaka and M. Shimura (eds.). Academy Press, New York 1975.
• [9] Zimmermann H.-J., Fuzzy Sets Theory and Its Application, Kluwer Academic Publishers, Boston 1991.